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11 October, 04:01

Find the missing piece to make this equal on both sides

sin pi/4 sin pi/6 = 1/2 (cos pi/12 - _?__ 5pi/12)

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  1. 11 October, 07:30
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    The rule to solve this problem:

    sin x sin y = 0.5 [ cos (x-y) - cos (x+y) ]

    ∴ If x = π/4 and y = π/6

    x-y = π/12 and x+y = 5π/12

    ∴ sin (π/4) sin (π/6) = 0.5 [ cos (π/12) - cos (5π/12) ]
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